GCF of 2010/600, 6555/5378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2010/600, 6555/5378 i.e 15/1613400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2010/600, 6555/5378.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2010/600,6555/5378?
Given fractions are 2010/600,6555/5378
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2010/600,6555/5378, numerators are 2010,6555
Denominators are 600,5378
The GCF of 2010,6555 is 15 .
LCM of 600,5378 is 1613400.
The greatest common factor of 2010/600,6555/5378 = [GCF of 2010,6555]/[LCM of 600,5378]= 15/1613400
Therefore, the GCF of 2010/600,6555/5378 is 15/1613400.
To find the highest common factor of 2010,6555, we have to find the factors of both numbers and list the highest common factor.
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010
The factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555
The HCF of 2010,6555 is 15.
Lets's calculate GCF of 2010,6555
| 3 | 2010, 6555 |
| 5 | 670, 2185 |
| 134, 437 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2010,6555 By Matching Biggest Common Factor Method
Now, list down the factors of 2010
:1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010
Now, list down the factors of 6555
:1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555
Greatest Common Factor
We found the factors 2010,6555 . The biggest common factor number is the GCF number.
So the greatest common factor 2010,6555 is 15.
Lets's calculate LCM of 600,5378
| 2 | 600, 5378 |
| 300, 2689 |
∴ So the LCM of the given numbers is 2 x 300 x 2689 = 1613400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1613400
Therefore, the GCF of Fractions 2010/600,6555/5378 is 15/1613400
Least Common Multiple of 600,5378 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 600,5378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,5378) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(600,5378) x common factors =2 x 1 = 2
LCM(600,5378) = ( 600 × 5378 ) / 2
LCM(600,5378) = 3226800 / 2
LCM(600,5378) = 1613400
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2010/600, 6555/5378
1. What is the HCF of 2010,6555?
The HCF of 2010,6555 is 15
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2010/600, 6555/5378?
Answer: GCF of Numerators as per given numbers 2010/600, 6555/5378 is
GCF of Numerators i.e. for 2010,6555 is 15
LCM of denominators i.e. for 600,5378 is 1613400.
Thus, GCF of Fractions is 15/1613400.Finally, GCF of Fractions for 2010/600, 6555/5378 is 15/1613400.